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Finding the Fourth Proportional to 580,480,767, 801,063,468.18 and 319,720,383

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Solution

The fourth proportional to 580,480,767, 801,063,468.18 and 319,720,383 is: 441,214,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,480,767 : 801,063,468.18 = 319,720,383 : x
  2. Step 2: Convert to fraction form
    580,480,767/801,063,468.18 = 319,720,383/x
  3. Step 3: Cross multiply
    580,480,767x = 801,063,468.18 × 319,720,383
  4. Step 4: Simplify right side
    580,480,767x = 256,116,318,853,817,888
  5. Step 5: Solve for x
    x = 256,116,318,853,817,888/580,480,767
  6. Step 6: Final answer
    x = 441,214,133.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.